Counterfactual explanations are the de facto standard when tasked with
interpreting decisions of (opaque) predictive models. Their generation is often
subject to algorithmic and domain-specific constraints -- such as density-based
feasibility for the former and attribute (im)mutability or directionality of
change for the latter -- that aim to maximise their real-life utility. In
addition to desiderata with respect to the counterfactual instance itself, the
existence of a viable path connecting it with the factual data point, known as
algorithmic recourse, has become an important technical consideration. While
both of these requirements ensure that the steps of the journey as well as its
destination are admissible, current literature neglects the multiplicity of
such counterfactual paths. To address this shortcoming we introduce the novel
concept of explanatory multiverse that encompasses all the possible
counterfactual journeys and shows how to navigate, reason about and compare the
geometry of these paths -- their affinity, branching, divergence and possible
future convergence -- with two methods: vector spaces and graphs. Implementing
this (interactive) explanatory process grants explainees more agency by
allowing them to select counterfactuals based on the properties of the journey
leading to them in addition to their absolute differences.

介绍了可解释的多元宇宙的概念，该概念包括所有可能的反事实路径，并展示了如何使用向量空间和图形来导航、推理和比较这些路径的几何特征，以赋予解释者更多的代理权。